[[2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,38,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,153,157,158,159,160,161,162,163,164,165,166,167,169,170,171,173,174,175,176,177,178,180,181,182,184,185,186,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,218,219,220,221,222,223,224,225,226,227,228,230,231,233,234,235,236,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,265,266,267,268,269,270,271,272,273,275,276,278,279,280,281,282,283,284,285,286,287,288,290,291,293,294,295,297,298,299,300,301,302,303,304,305,306,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,371,372,373,374,375,376,377,378,379,381,382,383,384,385,386,388,389,390,392,393,394,395,396,398,399,400,401,402,403,404,405,406,407,409,410,411,413,414,415,416,417,418,419,420,421,422,423,424,425,426,428,429,430,431,432,433,434,436,437,438,439,441,442,444,445,446,448,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,505,506,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,544,551,553,555,558,569,573,577,582,587,592,596,597,603,604,605,614,615,625,641,646,650,656,664,665,670,671,674,685,690,691,693,694,699,714,721,722,724,726,727,729,731,738,743,746,749,752,758,759,760,761,765,766,768,771,772,777,784,791,793,798,810,815,818,833,838,843,852,853,856,858,859,860,871,873,875,876,880,881,884,891,892,901,902,903,906,912,919,920,922,925,934,937,938,950,958,960,963,965,967,975,976,978,979,982,984,987,991,1000,1003,1012,1019,1021,1022,1030,1031,1034,1039,1046,1055,1070,1077,1079],[0,1,25,37,39,52,75,80,88,152,154,156,168,172,179,183,187,217,229,232,237,264,274,277,289,296,307,326,368,369,370,380,387,391,397,408,412,427,435,440,443,447,480,504,507,523,541,542,546,547,548,549,560,566,572,574,580,581,583,584,593,595,599,601,608,617,620,626,627,629,632,634,635,636,640,649,652,655,657,662,666,667,669,676,677,680,682,684,687,688,689,695,697,701,703,706,707,708,718,725,736,740,741,744,745,750,753,755,774,775,778,783,787,790,794,795,800,803,814,817,820,823,825,827,840,846,850,854,865,867,894,895,905,907,914,923,928,933,939,941,942,947,948,953,957,969,970,973,985,990,1002,1005,1006,1007,1009,1011,1018,1026,1033,1036,1038,1041,1042,1044,1047,1048,1049,1052,1053,1054,1056,1058,1063,1068,1071,1072,1074],[155,292,449,552,557,559,563,568,600,613,631,645,675,709,716,719,732,757,764,770,779,789,807,821,826,832,835,844,848,849,862,863,874,878,885,887,888,897,900,909,911,918,921,931,935,940,944,952,959,972,981,994,995,997,1004,1013,1016,1020,1028,1032,1037,1043,1045,1062,1076],[540,556,562,565,567,585,590,618,621,633,672,683,692,702,712,734,739,788,796,801,834,841,851,861,868,870,877,886,926,943,951,961,977,992,1008,1010,1035,1050,1059,1066],[554,564,570,588,594,609,612,628,643,647,653,735,737,756,769,773,780,829,831,836,890,896,904,929,949,974,980,983,999,1027,1040,1069],[602,606,651,659,673,698,715,723,762,792,805,819,830,908,945,946,956,964,988,1001,1065,1075],[550,578,619,630,642,660,696,720,751,754,781,786,822,855,879,936,986,1051,1057,1060],[611,717,728,742,748,763,782,804,812,824,828,837,883,889,932,1023,1061,1067],[610,644,648,668,678,679,747,776,785,799,811,816,842,847,872,898,930,955,966],[571,638,686,710,713,813,839,910,913,916,962,1015,1073],[639,654,663,767,802,809,845,869,924,927,989,1024,1029,1064,1078],[579,591,622,637,866,915,954,971,1017],[561,589,623,658,700,704,864,899,996],[598,624,705,968,993],[543,607,711,730,1025],[575,882,893],[733,857,1014],[576,586,616,806,998],[808,917],[661,681],[797],[545]]